Step-by-step explanation:
Volume of cylinder=πr²h=3.14 x 9 x 6=169.56 in³
Answer:
a)

Z = -1.58 means that a reading speed of 340 wpm is 1.58 standard deviations below the mean reading speed.
b)

Z = 0.67 means that a reading speed of 475 wpm is 0.67 standard deviations above the mean reading speed.
c)

Z = -0.25 means that a reading speed of 420 wpm is 0.25 standard deviations below the mean reading speed.
d)

Z = 2.92 means that a reading speed of 610 wpm is 2.92 standard deviations above the mean reading speed.
Step-by-step explanation:
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The z-score measures how many standard deviations a measure X is above or below the mean.
In this problem, we have that:

a. 340 wpm



Z = -1.58 means that a reading speed of 340 wpm is 1.58 standard deviations below the mean reading speed.
b. 475 wpm



Z = 0.67 means that a reading speed of 475 wpm is 0.67 standard deviations above the mean reading speed.
c. 420wpm



Z = -0.25 means that a reading speed of 420 wpm is 0.25 standard deviations below the mean reading speed.
d. 610wpm



Z = 2.92 means that a reading speed of 610 wpm is 2.92 standard deviations above the mean reading speed.
I don’t know what you mean by ‘regroup’ but the answer to 64 + 43 is 107
52/8=6 remainder:4
8*6=48
52-48=4
Hope this really helps u out!!! : )
Answer:
n = √3
m = √3
Step-by-step explanation:
The triangle is an isosceles right triangle with 2 equal base angles of 45° each.
Thus:
Reference angle = 45°
Hypotenuse = √6
Opposite = m
Adjacent = n
✔️To find m, apply the trigonometric function SOH, we have:
Sin 45 = opp/hyp
Sin 45 = m/√6
√6 × 1/√2 = m (sin 45 = 1/√2)
√6/√2 = m
√(6/2) = m
√3 = m
m = √3
✔️To find n, apply the trigonometric function, CAH:
Cos 45 = adj/hyp
Cos 45 = n/√6
√6 × √2/2 = n (cos 45 = √2/2)
√12/2 = n
√(4*3)/2 = n
(2√3)/2 = n
√3 = n
n = √3